广义分数次积分的Hermite-Hadamard中点型不等式
Hermite-Hadamard's Mid-Point Type Inequalities for Generalized Fractional Integrals
摘要：
在映射的一阶导数为Lipschitz或凸的情形下，得到了与Katugampola分数次积分有关的Hermite-Hadamard中点型不等式.同时，对利普希茨映射给出了若干中点型不等式，推广了已有的结果.最后作为应用，给出了与特殊平均有关的几个广义不等式。
英文摘要：
Some Hermite-Hadamard's mid-point type inequalities related to Katugampola fractional integrals are obtained where the first derivative of considered mappings is Lipschitzian or convex. Also some mid-point type inequalities are given for Lipschitzian mappings, with the aim of generalizing the results presented in previous works. Finally as an application, some generalized inequalities in connection with special means are provided.
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